9 citations · 10 across the 3 of their papers we have counts for
5 papers
Mean values of the Riemann zeta function at shifted zeros under the Riemann Hypothesis
Ramūnas Garunkštis, Julija Paliulionytė
Assuming the Riemann hypothesis, we obtain asymptotic formulas for in the region $-\frac{a}{\log T} \leq \Re δ\leq \frac{1}{2}+\frac{a}{\log T…
On primeness of the Selberg zeta-function
Ramūnas Garunkštis, Jörn Steuding
In this note we prove that the Selberg zeta-function associated to a compact Riemann surface is pseudo-prime and right-prime in the sense of a decomposition.
Zeros of the extended Selberg class zeta-functions and of their derivatives
Ramūnas Garunkštis
Levinson and Montgomery proved that the Riemann zeta-function and its derivative have approximately the same number of non-real zeros left of the critical line. R. Spira sho…
Zeros of the Lerch zeta-function and of its derivative for equal parameters
Ramūnas Garunkštis, Rokas Tamošiūnas
A. Speiser proved that the Riemann hypothesis is equivalent to the absence of non-real zeros of the derivative of the Riemann zeta-function left of the critical line. His result ha…
Discrete mean square of the Riemann zeta-function over imaginary parts of its zeros
Ramūnas Garunkštis, Antanas Laurinčikas
Assume the Riemann hypothesis. On the right-hand side of the critical strip, we obtain an asymptotic formula for the discrete mean square of the Riemann zeta-function over imaginar…